Introductory Algebra for College Students (7th Edition)

by
Blitzer, Robert F.

Answer

$x\sqrt{x}$

Work Step by Step

Getting the perfect factors and then extracting its root, the simplified form of the given expression, $
\sqrt{x^3}
,$ is
\begin{array}{l}\require{cancel}
\sqrt{x^2\cdot x}
\\\\=
\sqrt{(x)^2\cdot x}
\\\\=
x\sqrt{x}
.\end{array}
Note that variables are assumed to represent positive real numbers.